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Discrete fractional order PID controller design for nonlinear systems

Author

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  • Zhijie Li
  • Jie Ding
  • Min Wu
  • Jinxing Lin

Abstract

In this study, a discrete fractional order PID controller for nonlinear systems is proposed. U-model is firstly employed to transform nonlinear systems into a linear-like model and model complexity is then degraded and easier for controller design. Then, a new discrete fractional order PID control law in difference equation is presented which takes advantage of two more adjustable parameters. Finally, robust stability of the control law is analysed. Both deterministic and stochastic examples are provided to illustrate the effectiveness and superiority of the proposed controller.

Suggested Citation

  • Zhijie Li & Jie Ding & Min Wu & Jinxing Lin, 2021. "Discrete fractional order PID controller design for nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(15), pages 3206-3213, November.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3206-3213
    DOI: 10.1080/00207721.2021.1924307
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    Cited by:

    1. Mircea Ivanescu & Ioan Dumitrache & Nirvana Popescu & Decebal Popescu, 2021. "Control Techniques for a Class of Fractional Order Systems," Mathematics, MDPI, vol. 9(19), pages 1-17, September.
    2. Ávalos-Ruíz, L.F. & Zúñiga-Aguilar, C.J. & Gómez-Aguilar, J.F. & Cortes-Campos, H.M. & Lavín-Delgado, J.E., 2023. "A RGB image encryption technique using chaotic maps of fractional variable-order based on DNA encoding," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    3. Khan, Hasib & Ahmed, Saim & Alzabut, Jehad & Azar, Ahmad Taher, 2023. "A generalized coupled system of fractional differential equations with application to finite time sliding mode control for Leukemia therapy," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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